Exercise 10 Page 642

We are asked to find the area of the given figure. Since all of its sides are congruent, it is a rhombus. The area of a rhombus is half the product of its diagonals. In the diagram we can see that d_1= 9 m and d_2= 12 m. Let's substitute those values into the formula and simplify.

A=1/2d_1d_2

SubstituteII

d_1= 9, d_2= 12

A=1/2( 9)( 12)

Multiply

Multiply

A=1/2(108)

MoveRightFacToNumOne

1/b* a = a/b

A=108/2

CalcQuot

Calculate quotient

A=54

The area of the rhombus is 54 m^2.